NCERT Exemplar Class 12
Example 15 Find the distance of the plane 2x – 3y + 4z – 6 = 0 from the origin.
15
Nov
Example 15 Find the distance of the plane 2x – 3y + 4z – 6 = 0 from the origin. Example 15 Find the distance of the plane 2x – 3y + 4z – 6 = 0 from the origin. November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class [...]
Example 14 Find the direction cosines of the unit vector perpendicular to the plane r(6i – 3j – 2k) + 1 = 0 passing through the origin.
15
Nov
Example 14 Find the direction cosines of the unit vector perpendicular to the plane r(6i – 3j – 2k) + 1 = 0 passing through the origin. Example 14 Find the direction cosines of the unit vector perpendicular to the plane r(6i - 3j - 2k) + 1 = 0 passing through the origin. November [...]
Example 13 Find the vector equation of the plane which is at a distance of 6/sqrt 29 from the origin and its normal vector from the origin is 2i – 3j + 4k.
15
Nov
Example 13 Find the vector equation of the plane which is at a distance of 6/sqrt 29 from the origin and its normal vector from the origin is 2i – 3j + 4k. Example 13 Find the vector equation of the plane which is at a distance of 6/sqrt 29 from the origin and its [...]
Example 11 Find the shortest distance between the lines l 1 and l 2 whose vector equations are
15
Nov
Example 11 Find the shortest distance between the lines l 1 and l 2 whose vector equations are Example 11 Find the shortest distance between the lines l 1 and l 2 whose vector equations are November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 ,
Example 10 Find the angle between the pair of lines x + 3/3 = y – 1/5 = z + 3/4 and x + 1/1 = y-4/1 = z – 5/2
15
Nov
Example 10 Find the angle between the pair of lines x + 3/3 = y – 1/5 = z + 3/4 and x + 1/1 = y-4/1 = z – 5/2 Example 10 Find the angle between the pair of lines x + 3/3 = y - 1/5 = z + 3/4 and x + [...]
Example 9 Find the angle between the pair of lines given by r = 3i + 2j – 4k + lamba (i + 2j + 2k)
15
Nov
Example 9 Find the angle between the pair of lines given by r = 3i + 2j – 4k + lamba (i + 2j + 2k) Example 9 Find the angle between the pair of lines given by r = 3i + 2j - 4k + lamba (i + 2j + 2k) November 15, 2021 [...]
Example 8 The Cartesian equation of a line is Find the vector equation for the line.
15
Nov
Example 8 The Cartesian equation of a line is Find the vector equation for the line. Example 8 The Cartesian equation of a line is Find the vector equation for the line. November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 ,
Example 7 Find the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6).
15
Nov
Example 7 Find the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6). 2) and (3 4 6 Example 7 Find the vector equation for the line passing through the points (–1 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 [...]
Example 6 Find the vector and the Cartesian equations of the line through the point (5, 2, – 4) and which is parallel to the vector 3i + 2j – 8k .
15
Nov
Example 6 Find the vector and the Cartesian equations of the line through the point (5, 2, – 4) and which is parallel to the vector 3i + 2j – 8k . – 4) and which is parallel to the vector 3i + 2j - 8k . 2 Example 6 Find the vector and the [...]
Example 5 Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear.
15
Nov
Example 5 Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear. – 11) are collinear. 2 3) and C (3 3% 4 8 B(-1 Example 5 Show that the points A (2 November 15, 2021 Category: Chapter 11 - 3D Geometry , [...]
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B(-1 ,
Example 5 Show that the points A (2 ,